Algebra Examples

$\frac{5 x}{y^{2}} \cdot \frac{4 y^{2}}{5 x^{2}}$

Step 1

Combine.

$\frac{5 x (4 y^{2})}{y^{2} (5 x^{2})}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Cancel the common factor.

$\frac{5 x (4 y^{2})}{y^{2} (5 x^{2})}$

Step 2.2

Rewrite the expression.

$\frac{x (4 y^{2})}{y^{2} (x^{2})}$

$\frac{x (4 y^{2})}{y^{2} (x^{2})}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $x$ out of $y^{2} (x^{2})$ .

$\frac{x (4 y^{2})}{x (y^{2} (x))}$

Step 3.2

Cancel the common factor.

$\frac{x (4 y^{2})}{x (y^{2} (x))}$

Step 3.3

Rewrite the expression.

$\frac{4 y^{2}}{y^{2} (x)}$

$\frac{4 y^{2}}{y^{2} (x)}$

Step 4

Cancel the common factor of $y^{2}$ .

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Step 4.1

Cancel the common factor.

$\frac{4 y^{2}}{y^{2} x}$

Step 4.2

Rewrite the expression.

$\frac{4}{x}$

$\frac{4}{x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$